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一类3阶段结构自食系统的最优收获策略 被引量：2

Optimal Harvesting Policy for Cannibalism System with Three-stage Structure
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摘要 讨论了一生中有3个阶段(卵、幼虫及成虫)的单种群生长模型,且该种群为自食系统,即成虫会对卵进行捕食.得到了正平衡点全局渐近稳定的充分条件,分别给出了仅收获卵和仅获成年种群的最优收获策略. This paper discusses a single species growth model with three-stage structure （egg, immature and mature）, which is a cannibalism species, that is, the mature preys on the egg, obtains sufficient conditions for the existence of globally asymptotically stable positive equilibrium, and puts forward the optimal harvesting policy of egg and mature population, respectively.
作者 刘毅婧 雒志学
机构地区 兰州交通大学数理与软件工程学院
出处 《重庆工学院学报》 2007年第11期43-45,共3页 Journal of Chongqing Institute of Technology
基金 国家自然科学基金资助项目(604730304) 兰州交通大学"青蓝"人才工程基金资助项目(QL-05-18A)
关键词 阶段结构 自食 全局渐近稳定 最优收获策略 stage structure cannibalism globally asymptotical stability optimal harvesting policy
分类号 O175.1 [理学—基础数学]
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参考文献6

二级参考文献8

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共引文献59

同被引文献16

  • 1Gao Shujing.Optimal Harvesting Policy and Stability in a Stage Structured Single Species Growth Model with Cannibalism[J].Journal of Biomathematics,2002,17(2):194-200.
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引证文献2

二级引证文献1

重庆工学院学报
2007年 第11期

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